Rotating Convection of a Chemical Reacting Fluid with the Effect of Helical Force: Linear and Weakly Non-Linear Analysis

Abstract

Employing both linear and weakly non-linear analyses, the inquiry focuses on the oscillatory rotating convection with chemical reaction and helical force. The governing non-dimensionless equations for linear stability analysis have been solved using the normal mode approach, which results in an eigenvalue problem. While the weakly non-linear theory is investigated by multiple scale analysis. For linear stability analysis, the eigenvalue problem is solved using the One-term Galerkin approach, which yields the analytic formula for Rayleigh number. The problem of the commencement of convection has been addressed and resolved using the bvp4c procedure in MATLAB R2023b. For all physical parameters, neutral curves are constructed for both oscillatory and stable instability. They show no observable e ect on stationary convec tion in this Prandtl value. However, Taylor number, helical force parameter the thermal Rayleigh number, Lewis number, solutal di usitivity, and solutal Rayleigh number destabilize the ow in it. Weakly non-linear analysis results in the amplitude equation